In most cases, yes. You can wear a wig in a passport photo if it is part of your normal appearance and your face is clearly visible. You can also wear a wig through TSA screening.
Passport photo rule of thumb
The photo needs to identify you. Avoid hair that covers your eyes, creates heavy shadows, or changes your appearance so dramatically that it may raise questions later.
Airport screening
TSA screening focuses on safety. A wig may be worn, but bulky hairpieces or pins can sometimes lead to extra screening.
Bottom line
Wear a wig that looks like you, keeps your face visible, and has minimal metal. For travel days, comfort and simplicity beat drama.